Ex 95, 6 Show that the given differential equation is homogeneous and solve each of them 𝑥 𝑑𝑦−𝑦 𝑑𝑥=√(𝑥^2𝑦^2 ) 𝑑𝑥 Step 1 Find 𝑑𝑦/𝑑𝑥 x dy − y dx = √(𝑥^2𝑦^2 ) dx x dy = √(𝑥^2𝑦^2 ) dx y dx x dy = (√(𝑥^2𝑦^2 )𝑦) dx 𝑑𝑦/𝑑𝑥 = (√(𝑥^2 𝑦^2 ) 𝑦)/𝑥 Step 2 Put 𝑑𝑦/𝑑𝑥 =A curve through (1, 0) and satisfying the differential equation (1 y2)dx xy dy = 0 is (A) a circle (B) a parabola an ellipse (D) a hyperbola 详细过程请见下图,希望对亲有帮助 (看不到图的话请Hi我) 希望对亲有帮助 围成D的三条直线分别是 AB：y = x/2 1/2 BC：y = 3x
What Is The Solution Of X Y X Dx Xydy 0 Quora
